Posted on November 30, by Scott Alexander [epistemic status: My bias is against the current college system doing much good. I have tried not to be bogged down by this bias, but take it into account when reading my interpretations below. An earlier version of this post claimed that one paper had shown a u-shaped relationship between time spent in college and critical thinking.

Resources for Developing Math Proficiency The following resources have been selected with that goal of developing proficiency in mind. Interactive and multimedia resources, including interactive whiteboard resources, are provided in grade bands: AAAMath contains hundreds of pages of basic math skills with interactive practice on topics found in K-8 curriculum.

Each math topic is explained. Associated games are presented. Problems are randomly generated. Selection can be made by grade level or topic.

There are links to additional resources for teachers and parents. Select from math, English, science, or history. The site features Java and non-Java flashcardsgames, worksheets, and a homework helper.

Create and print your own flashcards, too. Flashcard topics address basic operations, including fraction topics and negative numbers; rounding, square roots, algebra, geometry, and money, for example.

Math has addition, subtraction, multiplication, and division in single-player and multi-player options for elementary students in gradesor other learners as needed.

At the end of a game, you get a report on how well you did. These are fun and motivating. Bitsize Maths from the BBC-Scotland contains materials at a standard level suitable for upper elementary, middle school, and above for maths 1 and maths 2, with study help and illustrations called revisions and interactive tests.

Maths 1 deals with number at the general level, Pythagorean theorem, trigonometry and angles; area and volume, algebra at the general level, and graphs. Maths 2 deals with trigonometry, algebra, and statistics. Calculation Nation was created by the National Council of Teachers of Mathematics and is part of its Illuminations project.

Students challenge themselves and can challenge other opponents from around the world. CK Foundation is a non-profit organization with a mission to reduce the cost of textbook materials for the K market both in the U.

In addition to its Flexbooks, there are online problem sets in multiple math subject areas. There is a section for elementary math for grades aligned to the Common Core standards. It contains interactive math practice problems, videos, video hints, and full step-by-step solutions, all free.

Other sections include arithmetic for middle school, algebra, geometry, probability, statistics, trigonometry, analysis, and calculus.

The site is designed for fun--a must see! Count Us In uses a cartoon-like game format with everyday activities to help young children preK-2 learn basic math concepts e. Site is maintained by Australia Broadcasting Company.

Audio does not accompany directions on how to play, so young learners might need help reading directions. Davitily Math Problem Generator offers a web-based math problem generator for basic math, algebra, and geometry.

Teachers, students and parents can quickly and easily generate worksheets, tests, and quizzes. Some worksheets are free; others require a small monthly fee. An iPad version is available.

Sign up is free. EngageNY Common Core Curriculum includes grades preK-8, and high school algebra 1, algebra 2, geometry, precalculus and advanced topics.Cool Math has free online cool math lessons, cool math games and fun math activities. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too.

An underlying goal is preparation for the thinking skills necessary for abstract high school-level math." - Cathy Duffy, Christian Home Educators' Curriculum Manual, Greensboro, NC "Your Mathematical Reasoning is amazing.

Here's a challenging activity that might help high school teachers learn about students' abilities to think critically. Send students into the school hallways or schoolyard, and ask each to find something that "is completely the opposite of yourself.".

I wrote this post a year ago, but I wanted to share it again because I think it’s important that families understand the limitations of many high school counselors when it comes to sharing advice about critical college issues.

Math workbooks that cover core subjects from arithmetic to geometry to provide complete mixed review for essential math skills. Kids will enjoy the problem-solving challenges and ability to learn math.

For example, we know that only 81 percent of Asian-American high school students and 71 percent of white high school students attend high schools where the full range of math and science courses are offered (Algebra I, geometry, Algebra II, calculus, biology, chemistry, and physics).

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Free Critical Thinking Worksheets